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Finding the Fourth Proportional to 11,438.30, 15,783.81 and 6,402.62

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Solution

The fourth proportional to 11,438.30, 15,783.81 and 6,402.62 is: 8,835.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,438.30 : 15,783.81 = 6,402.62 : x
  2. Step 2: Convert to fraction form
    11,438.30/15,783.81 = 6,402.62/x
  3. Step 3: Cross multiply
    11,438.30x = 15,783.81 × 6,402.62
  4. Step 4: Simplify right side
    11,438.30x = 101,057,737.58
  5. Step 5: Solve for x
    x = 101,057,737.58/11,438.30
  6. Step 6: Final answer
    x = 8,835.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.